102220313220000 has 180 divisors, whose sum is σ = 363244994682570. Its totient is φ = 27258750144000.

The previous prime is 102220313219987. The next prime is 102220313220017. The reversal of 102220313220000 is 22313022201.

It can be written as a sum of positive squares in 5 ways, for example, as 5552639811216 + 96667673408784 = 2356404^2 + 9831972^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 283765315 + ... + 284125314.

Almost surely, 2^{102220313220000} is an apocalyptic number.

102220313220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220313220000 is an abundant number, since it is smaller than the sum of its proper divisors (261024681462570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102220313220000 is an equidigital number, since it uses as much as digits as its factorization.

102220313220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567890665 (or 567890639 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102220313220000 its reverse (22313022201), we get a palindrome (102242626242201).

The spelling of 102220313220000 in words is "one hundred two trillion, two hundred twenty billion, three hundred thirteen million, two hundred twenty thousand".